2017 · Q29
Five years ago, Ram was three times as old as Shyam. Four years from now, Ram will be only twice as old as Shyam. What is the present age of Ram ?
Elementary MathematicsAlgebra
- A30 years
- B32 years
- C36 years
- D40 years
Explanation
Let Ram's present age be R and Shyam's be S. Then R−5 = 3(S−5) and R+4 = 2(S+4). From the first, R = 3S−10; substituting gives 3S−6 = 2S+8, so S = 14 and R = 32. Hence option (B) 32 years.